SOLUTION: y=1/4x+5

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Question 181960: y=1/4x+5
Answer by jim_thompson5910(21682) About Me  (Show Source):
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Looking at y=%281%2F4%29x%2B5 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=1%2F4 and the y-intercept is b=5


Since b=5 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point

drawing%28500%2C500%2C-10%2C10%2C-10%2C10%2C%0D%0A++grid%281%29%2C%0D%0A++blue%28circle%280%2C5%2C.1%29%29%2C%0D%0A++blue%28circle%280%2C5%2C.12%29%29%2C%0D%0A++blue%28circle%280%2C5%2C.15%29%29%0D%0A%29


Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun

Also, because the slope is 1%2F4, this means:

rise%2Frun=1%2F4


which shows us that the rise is 1 and the run is 4. This means that to go from point to point, we can go up 1 and over 4



So starting at , go up 1 unit
drawing%28500%2C500%2C-10%2C10%2C-10%2C10%2C%0D%0A++grid%281%29%2C%0D%0A++blue%28circle%280%2C5%2C.1%29%29%2C%0D%0A++blue%28circle%280%2C5%2C.12%29%29%2C%0D%0A++blue%28circle%280%2C5%2C.15%29%29%2C%0D%0A++blue%28arc%280%2C5%2B%281%2F2%29%2C2%2C1%2C90%2C270%29%29%0D%0A%29

and to the right 4 units to get to the next point
drawing%28500%2C500%2C-10%2C10%2C-10%2C10%2C%0D%0A++grid%281%29%2C%0D%0A++blue%28circle%280%2C5%2C.1%29%29%2C%0D%0A++blue%28circle%280%2C5%2C.12%29%29%2C%0D%0A++blue%28circle%280%2C5%2C.15%29%29%2C%0D%0A++blue%28circle%284%2C6%2C.15%2C1.5%29%29%2C%0D%0A++blue%28circle%284%2C6%2C.1%2C1.5%29%29%2C%0D%0A++blue%28arc%280%2C5%2B%281%2F2%29%2C2%2C1%2C90%2C270%29%29%2C%0D%0A++blue%28arc%28%284%2F2%29%2C6%2C4%2C2%2C+180%2C360%29%29%0D%0A%29


Now draw a line through these points to graph y=%281%2F4%29x%2B5

drawing%28500%2C500%2C-10%2C10%2C-10%2C10%2C%0D%0A++grid%281%29%2C%0D%0A++graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C%281%2F4%29x%2B5%29%2C%0D%0A++blue%28circle%280%2C5%2C.1%29%29%2C%0D%0A++blue%28circle%280%2C5%2C.12%29%29%2C%0D%0A++blue%28circle%280%2C5%2C.15%29%29%2C%0D%0A++blue%28circle%284%2C6%2C.15%2C1.5%29%29%2C%0D%0A++blue%28circle%284%2C6%2C.1%2C1.5%29%29%2C%0D%0A++blue%28arc%280%2C5%2B%281%2F2%29%2C2%2C1%2C90%2C270%29%29%2C%0D%0A++blue%28arc%28%284%2F2%29%2C6%2C4%2C2%2C+180%2C360%29%29%0D%0A%29 So this is the graph of y=%281%2F4%29x%2B5 through the points and